1. The inequality that represents the cost of making x amount of cakes should not exceed the investment is: 14x ≤ 10000.
2. Solving the inequality:
14x ≤ 10000
x ≤ 10000/14
x ≤ 714.29 (rounded to the nearest dollar)
The graph of the solution would be a horizontal line at y = 714.
3. The equation representing the total earnings, T, based on the price of each cake and the number sold is: T = 50x.
4. The most money that can be earned from the business is infinity, as there is no limit on the number of cakes that can be sold.
5. The total profit can be calculated by subtracting the cost of making the cakes from the total earnings: Profit = Total Earnings - Total Cost.
Profit = 50x - 14x = 36x
6. Whether money was made or lost cannot be determined without knowing the value of x (number of cakes sold).
You want to start a bakery business to earn money. The total amount of money you will invest is $10,000. You will be selling cakes. It will cost you $14 to make each cake.
1. Write an inequality that represents the cost of making x amount of cakes should not exceed this investment.
* Do not include the dollar symbol in the inequality
2. Solve this inequality and choose the graph of the solution.
* Make sure to round to the nearest dollar.
3. You plan to sell each cake for $50. Write an equation that represents your total earnings, T, based on the price of your cake and how many you sell. Let x represent the number of cakes you sell.
* Use T and x as your variables
4. Using your answer from part b and your equation from part c, what is the most money you can hope to earn from your business?
5. Don’t forget that at the beginning of the process you had to spend some of your own money to get started. With the costs taken into account, what was your total profit?
6. Did you make money or lose money?
1 answer